F=Foe^wt transpose to t

Do you mean:

F = F_o e^{\omega t}

?

Identities:

log(x*y) = log(x) + log(y)

log(\frac{x}{y}) = log(x) - log(y)

log(x^y) = y*log(x)

Pretty much the same for natural logs.

Do you mean:

F = F_o e^{\omega t}

?

yes that correct but transposed to find t please

Try it using the steps I give you.

1. Move Fo to the left so that the exponential is alone.
2. Insert log (or ln) on both sides.
3. Remove the wt as powers by the rule: log\ a^x = x\ log\ a
4. Divide by something to get t alone.

Can you get it? If yes, post what you get. If no, post where you are stuck. :)